168814211638656 has 256 divisors, whose sum is σ = 457593012000000. Its totient is φ = 55126310952960.

The previous prime is 168814211638637. The next prime is 168814211638697. The reversal of 168814211638656 is 656836112418861.

168814211638656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8015478366 + ... + 8015499426.

It is an arithmetic number, because the mean of its divisors is an integer number (1787472703125).

Almost surely, 2^{168814211638656} is an apocalyptic number.

168814211638656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168814211638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228796506000000).

168814211638656 is an abundant number, since it is smaller than the sum of its proper divisors (288778800361344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168814211638656 is a wasteful number, since it uses less digits than its factorization.

168814211638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22345 (or 22333 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 66.

The spelling of 168814211638656 in words is "one hundred sixty-eight trillion, eight hundred fourteen billion, two hundred eleven million, six hundred thirty-eight thousand, six hundred fifty-six".